26500 has 24 divisors (see below), whose sum is σ = 58968. Its totient is φ = 10400.

The previous prime is 26497. The next prime is 26501. The reversal of 26500 is 562.

26500 = 21² + 22² + ... + 44².

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 26244 = 16^2 + 162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2²⁶⁵⁰⁰ is an apocalyptic number.

26500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484).

26500 is an abundant number, since it is smaller than the sum of its proper divisors (32468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26500 is a wasteful number, since it uses less digits than its factorization.

26500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 26500 is about 162.7882059610. The cubic root of 26500 is about 29.8136597887.

The spelling of 26500 in words is "twenty-six thousand, five hundred".